Study of lump solutions to an extended Calogero-Bogoyavlenskii-Schiff equation involving three fourth-order terms

摘要

A new generalized fourth-order nonlinear differential equation originating from the Calogero-Bogoyavlenskii-Schiff equation with an extra term (DxDyDt)-D-2 is studied. In terms of the coefficients of this combined nonlinear equation, a class of lump solutions is constructed by the Hirota bilinear method and calculated through the symbolic computation system of Maple. Furthermore, the affection of the extended item on the solution is explored. Two particular lump solutions with special choices of the involved parameters are generated and plotted, as illustrative examples.

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